2456367540 has 96 divisors (see below), whose sum is σ = 7598223360. Its totient is φ = 587932800.

The previous prime is 2456367539. The next prime is 2456367607. The reversal of 2456367540 is 457636542.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2456367492 and 2456367501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28585 + ... + 75695.

It is an arithmetic number, because the mean of its divisors is an integer number (79148160).

Almost surely, 2^2456367540 is an apocalyptic number.

2456367540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2456367540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799111680).

2456367540 is an abundant number, since it is smaller than the sum of its proper divisors (5141855820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2456367540 is a wasteful number, since it uses less digits than its factorization.

2456367540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47213 (or 47211 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The square root of 2456367540 is about 49561.7548115480. The cubic root of 2456367540 is about 1349.2666414714.

The spelling of 2456367540 in words is "two billion, four hundred fifty-six million, three hundred sixty-seven thousand, five hundred forty".